Virtually-asymptotic net

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A net (in differential geometry) on a surface $ V _ {2} $ in Euclidean space which, on being deformed somewhat ( $ f: V _ {2} \rightarrow V _ {2} ^ {*} $), becomes an asymptotic net of the surface $ V _ {2} ^ {*} $. A Voss surface is distinguished by the presence of a conjugate virtually-asymptotic net.


[1] V.I. Shulikovskii, "Classical differential geometry in a tensor setting" , Moscow (1963) (In Russian)
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Virtually-asymptotic net. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by V.T. Bazylev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article